At a farmers market, Samuel bought 1 pounds of apples for x dollars per pound and 3 bags of spinach for y dollars each. The next day, he returned and bought 6 pounds of apples for x dollars per pound and 2 bags of spinach for y dollars each. Which expression represents the total amount he spent at the market on both days?

Question

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(1 point)
• 7x + 5y
4x + 8y
4y + 8x
7y +5x

Answer 1

To determine the total amount Samuel spent at the farmer's market on both days, we need to calculate and add the costs from both days:

1. First day:

   • Apples: 1 pound at \( x \) dollars per pound → Total = \( 1 \cdot x = x \)
   • Spinach: 3 bags at \( y \) dollars each → Total = \( 3 \cdot y = 3y \)
   • Total for the first day = \( x + 3y \)

2. Second day:

   • Apples: 6 pounds at \( x \) dollars per pound → Total = \( 6 \cdot x = 6x \)
   • Spinach: 2 bags at \( y \) dollars each → Total = \( 2 \cdot y = 2y \)
   • Total for the second day = \( 6x + 2y \)

Now, we add the total from both days:

\[ \text{Total spent} = (x + 3y) + (6x + 2y) = x + 3y + 6x + 2y = (x + 6x) + (3y + 2y) = 7x + 5y \]

Thus, the total expression representing the amount he spent at the market on both days is \( 7x + 5y \).

The correct answer is 7x + 5y.